Boosting Gravity-Induced Entanglement through Parametric Resonance

TL;DR

This paper proposes a scheme to amplify gravity-induced quantum entanglement between two masses using parametric resonance, potentially aiding experimental tests of quantum gravity.

Contribution

It introduces a novel approach employing parametric resonance to enhance gravity-induced entanglement, analyzing its growth and stability under noise and damping effects.

Findings

Exponential growth of entanglement due to parametric resonance

Analysis of noise and damping effects on entanglement

Demonstration of dynamical instability facilitating entanglement amplification

Abstract

Establishing quantum gravity theory remains one of the major challenges in modern physics, as the lack of experimental evidence makes it difficult to explore. In response to this challenge, proposals to test quantum entanglement induced by Newtonian gravity in table-top experiments have attracted significant attention as a potentially feasible approach far below the Planck energy scale. In this work, we propose a scheme to amplify gravity-induced entanglement between two masses using parametric resonance. Specifically, we consider two parametrically resonant oscillators interacting through Newtonian gravity, each governed by the Mathieu equation. We analyzed the logarithmic negativity between two oscillators and investigate the effects of random force noise and linear damping. As a result, we find an exponential growth of gravity-induced entanglement between the oscillators, which reflects the dynamical instability of parametric resonant systems.